Electric field inside concentric solenoids

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SUMMARY

The discussion centers on the feasibility of generating an electric field using an infinitely long superconducting solenoid with n turns per unit length and a programmable power supply capable of driving various current waveforms. Dr. Y aims to accelerate electrons on circumferences with radii a and b, but Dr. X asserts that creating an electric field in this configuration is impossible. The participants explore the theoretical implications of electric fields in superconducting solenoids and the conditions under which they may or may not exist.

PREREQUISITES
  • Understanding of superconducting solenoids and their properties
  • Familiarity with electromagnetic theory, specifically electric fields
  • Knowledge of current waveforms and their effects in circuits
  • Ability to interpret and analyze mathematical equations related to electromagnetism
NEXT STEPS
  • Research the principles of superconductivity and its impact on electric fields
  • Learn about the mathematical formulation of electric fields in solenoids
  • Explore the effects of varying current waveforms on electromagnetic fields
  • Study the implications of electromagnetic wave propagation in superconducting materials
USEFUL FOR

Physics students, electrical engineers, and researchers interested in electromagnetism and superconductivity will benefit from this discussion.

mikeyBoy83

Homework Statement


Dr. X has an infinitely long superconducting solenoid with n turns per unit length and a power supply to drive arbitrary current wave forms through the solenoid's winding. The power supply can drive DC currents, temporarily ramped currents, sine wave currents, etc...; whatever Dr. X programs it to do. Dr. Y wants to accelerate some electrons on the circumference with radii a and b as shown in the figure. Dr. X says that Dr. Y is nuts; you cannot create an electric field with the superconducting solenoid and the power supply.

Can Dr. Y produce an electric field on the two circumferences? If Dr. Y cannot produce an electric field, prove it. If Dr. Y can produce an electric field explain how and calculate the electric field on the circumferences with radii a and b shown in the figure.

Homework Equations

/information[/B]
https://drive.google.com/open?id=0B818Uj3Z5tjAQUtJTjA4V1R5RXVkaWN0VFFfMldFTF95OWZZ (Sorry, I guess my image won't load)
If such a field were possible both would be time varying due to the multiple programmable options on the power supply and so the electromagnetic 'news' would travel at the speed of light.

The Attempt at a Solution


I can find the electric field without problem. What I am unsure of is whether or not it is even possible with this configuration.
 
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mikeyBoy83 said:
What I am unsure of is whether or not it is even possible with this configuration.
Without a figure we cannot figure out what "this configuration" is.
 
Your URL seems to resolve to a google drive location, and may not be public accessible. A better option is to UPLOAD the image (use the UPLOAD button at the bottom right of the edit panel), or perhaps a screen capture cut&paste.
 

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